Answer: The friend won the round.
Step-by-step explanation:
We want to find the lowest score.
The lowest score means the smallest value.
With intergers, as the number gets farther away from zero to the left, the smaller the value is. The middle number is zero on a number line. The numbers to the left of zero are negative. The number to the write of zero are positive.
As you move to the left on the number line, the numbers get smaller. As you move to the right on a number line, the values get bigger
Since -4 is farther away from zero to the left on a number line than -3, -4 is smaller.
Hence -4 is smaller than -3. -4 is one more to the left than -3 so -4 is smaller than -3.
Hence the friend won the round.
Which equation has infinitely many solutions? a 12 + 4x = 6x + 10 - 2x
b 5x + 14 - 4x = 23 + x-9 c
c X + 9 -0.8x = 5.2x + 17-8
d 4x-2x = 20
Answer: 3.50x + 4.00y ≤ 45
0 < y < 11.25
<u>Step-by-step explanation:</u>
Answer:
216 yards
Step-by-step explanation:
There are 3 feet in a yard, so the number of yards is equal to the number of feet divided by 3.
648/3 = 216
Answer: Carlos is correct
Step-by-step explanation:
2x^5-250x^2
The first step is to factorize out 2x^2
2x^2(x^3-125)
This can be rewritten as
2x^2(x^3-5^3),
Recall, difference if cube (a^3-b^3)
= (a-b)(a^2 +ab + b^2)
from our equation,
a= x
b = 5.
So the difference of cubes will be
2x^2[(x-5) (x^2 + 5x + 5^2)]
=2x^2[(x-5) (x^2 + 5x + 25)]
Carlos followed these steps. So he is correct. Carlos is correct because he correctly factored the GCF, identified a and b, and applied the difference of cubes method.
Amber is incorrect because 125 is equal to b3, not b.
Bernie is incorrect because x2 is not the GCF of the polynomial. The GCF is 2x^2.
